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Finding the Fourth Proportional to 419,360.26, 629,138.76 and 138,877.60

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Solution

The fourth proportional to 419,360.26, 629,138.76 and 138,877.60 is: 208,348.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,360.26 : 629,138.76 = 138,877.60 : x
  2. Step 2: Convert to fraction form
    419,360.26/629,138.76 = 138,877.60/x
  3. Step 3: Cross multiply
    419,360.26x = 629,138.76 × 138,877.60
  4. Step 4: Simplify right side
    419,360.26x = 87,373,281,055.78
  5. Step 5: Solve for x
    x = 87,373,281,055.78/419,360.26
  6. Step 6: Final answer
    x = 208,348.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.